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Finding the Fourth Proportional to 254,808.74, 351,607.49 and 152,838.35

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Solution

The fourth proportional to 254,808.74, 351,607.49 and 152,838.35 is: 210,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,808.74 : 351,607.49 = 152,838.35 : x
  2. Step 2: Convert to fraction form
    254,808.74/351,607.49 = 152,838.35/x
  3. Step 3: Cross multiply
    254,808.74x = 351,607.49 × 152,838.35
  4. Step 4: Simplify right side
    254,808.74x = 53,739,106,097.01
  5. Step 5: Solve for x
    x = 53,739,106,097.01/254,808.74
  6. Step 6: Final answer
    x = 210,899.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.